The points of inflexion of a normal distribution with mean $\mu$ and variance $\sigma^2$ are
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The standard deviation of first $n$ natural numbers is
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The standard deviation of a set of 50 observations is 8.
If each observation is multiplied by 2, the new value of stan…
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Sum of the deviation about mean is
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The mean difference between 9 paired observations is 15, and the standard deviation of differences is 5. The value of s…
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If $X \sim N(\mu,\sigma^2)$, then
$Z^2=\left(\frac{X-\mu}{\sigma}\right)^2$ is a Chi-square variate with
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If $X$ is a discrete random variable taking positive integer values and possesses memory-less property, then the distri…
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If $P(X=0)=1-P(X=1)$ and $E(X)=3V(X)$, the value of $P(X=0)$ is
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If $X$ has discrete uniform distribution with pmf $f(x)=\frac{1}{8}$ for $x=1,2,\dots,8$, then the mean of the distribu…
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Coefficient of correlation is equal to
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Suppose random variable $X$ has possible values $1,2,3,\dots$ and $P(X=j)=\frac{1}{2^j}$, $j=1,2,3,\dots$ then $P(X \te…
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If $P$ is the population proportion of some characteristic under study,
$Q=1-P$ and $n$ is the sample size, then the s…
Topic: AMU MCA 2020
Let $X_1, X_2, \dots, X_n$ be independently and identically distributed
$N(\mu,\sigma^2)$. Which of the following is s…
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Two bodies of mass 100 g and 20 g are moving with velocities
$(2\hat{i}-7\hat{j}+3\hat{k})$ cm/s and $(-10\hat{i}+35\h…
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The kinetic energy of a body is twice its rest mass energy.
What is the ratio of relativistic mass to rest mass?
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Which of the following potentials does not satisfy Laplace’s equation?
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An inductive coil having a resistance of $5\Omega$ and an inductance of $5$ mH is connected in series with a $2\mu F$ c…
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A sinusoidal voltage with peak value $40\sqrt{58}$ V and frequency $\frac{200}{\pi}$ Hz is applied to a series LCR circ…
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The state of polarization of light with electric field vector
$\vec{E}=\hat{i}E_0\cos(kz-\omega t)-\hat{j}E_0\cos(kz-\…
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A diffraction grating has 5000 rulings per cm. What is the second order diffraction angle for violet light? (Given $\la…
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For an RC phase-shift oscillator consisting of three RC phase shift networks, if $v_i$ and $v_o$ represent the input an…
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